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Q.

Four identical solid spheres each of mass ‘m’ and radius ‘a’ are placed with their centres on the four corners of a square of side ‘b’. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is:

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a

45ma2+2mb2

b

45ma2

c

85ma2+2mb2

d

85ma2+mb2

answer is C.

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Detailed Solution

Giventhen moment of inertia about the given axis, using parallel axis theorem, will beI=425ma2+2.mb2=85ma2+2mb2
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